I've been trying to work out an algebraic expression for the following summation

, entered as S[n,t]:=sum(f,k=0..n-1); (with f:=k!/(k+t)!;)

I entered the above Maple expression into Maple (13) just so I could check out some small example summations I had. Maple's arithmetic, accuracy and speed is much superior to mine!...

I've been using LagrangeMultipliers to solve a problem. Solutions returned involve RootOf.

What I want to do is extract the expression within RootOf() so that I can do fsolve() on that.

The expr from RootOf is a 6th order polynomial in _Z.

I've tried convert(RootOf(...), radical), but it doesn't work very well on polyhnomials of order greater than or equal 5.

Any suggestion(s) for this extraction that I want ?

Is there a function or procedure within Maple (v13) that will return the highest power of a polynomial?

 

Related to this, how do I determine the error return value from coeff(a,x,i) ?

 

TIA

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